{"id":"vidhyamitra:city-day:varanasi:-3164-09-17:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/-3164-09-17","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3164-09-17","date_display":"September 17, 3165 BCE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3164,"month":9,"day":17,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565666.770833,"kali_year":-62,"ahargana":-22798.7292,"sun":{"sidereal_longitude":207.7157,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":190.3801,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":342.6645,"elapsed_within_tithi_degrees":6.6645},"nakshatra":{"number":15,"name":"Svātī","pada":2,"moon_longitude":190.3801,"elapsed_within_degrees":3.7134},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":38.0958},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":-3164,"month":9,"day":17,"hour":6,"minute":30,"calendar":"julian"},"julian_day":565666.770833,"ahargana":-22798.7292,"kali_year":-62,"ayanamsa_lahiri":-48.2748,"grahas":{"sun":{"sidereal_longitude":207.7157,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":190.3801,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false,"latitude":-3.9868},"mars":{"sidereal_longitude":258.0716,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":229.7777,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":252.754,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"venus":{"sidereal_longitude":201.7823,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":302.4604,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":307.9864,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":127.9864,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3164,"month":9,"day":17,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565666.770833,"kali_year":-62,"ahargana":-22798.7292,"sun":{"sidereal_longitude":207.7157,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":190.3801,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":342.6645,"elapsed_within_tithi_degrees":6.6645},"nakshatra":{"number":15,"name":"Svātī","pada":2,"moon_longitude":190.3801,"elapsed_within_degrees":3.7134},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":38.0958},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.987,"elongation":17.336},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.987,"opposition_distance":162.664}},"eclipse_window_40days":[]},"city":{"slug":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:33","sunsetLocal":"18:11","solarNoonLocal":"11:52","dayLengthHours":12.63458722150078,"dayLengthDisplay":"12 Hours 38 Mins 05 Secs","nightLengthDisplay":"11 Hours 21 Mins 55 Secs","moonriseLocal":"04:12","moonsetLocal":"17:13","rahuKala":{"name":"Rāhu Kāla","start":"10:17","end":"11:52","startHours":10.285090534722936,"endHours":11.864413937410536,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:01","end":"16:36","startHours":15.02306074278573,"endHours":16.602384145473327,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:08","end":"08:42","startHours":7.126443729347742,"endHours":8.70576713203534,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:30","end":"08:55","startHours":8.495190678343661,"endHours":8.91634358572702,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:04","end":"06:25","startHours":6.073561460889344,"endHours":6.410483786796032,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:27","end":"12:17","startHours":11.443261030027177,"endHours":12.285566844793895,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:52","end":"04:42","startHours":3.8625086971267075,"endHours":4.704814511893426,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:30","end":"05:33","startHours":4.494238058201747,"endHours":5.547120326660145,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:49","startHours":13.970178474327334,"endHours":14.812484289094053,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:59","end":"18:23","startHours":17.981707548160927,"endHours":18.381707548160925,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:11","end":"18:42","startHours":18.181707548160926,"endHours":18.708148682390124,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:56","end":"19:41","startHours":17.931707548160926,"endHours":19.681707548160926,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:27","end":"00:17","startHours":23.443261030027177,"endHours":24.285566844793895,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:33","end":"07:08","startHours":5.547120326660145,"endHours":7.126443729347742,"quality":"neutral"},{"name":"Labha","start":"07:08","end":"08:42","startHours":7.126443729347742,"endHours":8.70576713203534,"quality":"auspicious"},{"name":"Amṛta","start":"08:42","end":"10:17","startHours":8.70576713203534,"endHours":10.285090534722936,"quality":"auspicious"},{"name":"Kāla","start":"10:17","end":"11:52","startHours":10.285090534722936,"endHours":11.864413937410536,"quality":"inauspicious"},{"name":"Śubha","start":"11:52","end":"13:27","startHours":11.864413937410536,"endHours":13.443737340098131,"quality":"auspicious"},{"name":"Roga","start":"13:27","end":"15:01","startHours":13.443737340098131,"endHours":15.02306074278573,"quality":"inauspicious"},{"name":"Udveg","start":"15:01","end":"16:36","startHours":15.02306074278573,"endHours":16.602384145473327,"quality":"inauspicious"},{"name":"Chala","start":"16:36","end":"18:11","startHours":16.602384145473327,"endHours":18.181707548160926,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:11","end":"19:36","startHours":18.181707548160926,"endHours":19.60238414547333,"quality":"inauspicious"},{"name":"Udveg","start":"19:36","end":"21:01","startHours":19.60238414547333,"endHours":21.02306074278573,"quality":"inauspicious"},{"name":"Chala","start":"21:01","end":"22:27","startHours":21.02306074278573,"endHours":22.44373734009813,"quality":"neutral"},{"name":"Labha","start":"22:27","end":"23:52","startHours":22.44373734009813,"endHours":23.864413937410536,"quality":"auspicious"},{"name":"Amṛta","start":"23:52","end":"01:17","startHours":23.864413937410536,"endHours":25.28509053472294,"quality":"auspicious"},{"name":"Kāla","start":"01:17","end":"02:42","startHours":25.28509053472294,"endHours":26.70576713203534,"quality":"inauspicious"},{"name":"Śubha","start":"02:42","end":"04:08","startHours":26.70576713203534,"endHours":28.12644372934774,"quality":"auspicious"},{"name":"Roga","start":"04:08","end":"05:33","startHours":28.12644372934774,"endHours":29.547120326660146,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:33","end":"06:33","startHours":5.547120326660145,"endHours":6.547120326660145,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:33","end":"07:33","startHours":6.547120326660145,"endHours":7.547120326660145,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:33","end":"08:33","startHours":7.547120326660145,"endHours":8.547120326660146,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:33","end":"09:33","startHours":8.547120326660146,"endHours":9.547120326660146,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:33","end":"10:33","startHours":9.547120326660146,"endHours":10.547120326660146,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:33","end":"11:33","startHours":10.547120326660146,"endHours":11.547120326660146,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:33","end":"12:33","startHours":11.547120326660146,"endHours":12.547120326660146,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:33","end":"13:33","startHours":12.547120326660146,"endHours":13.547120326660146,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:33","end":"14:33","startHours":13.547120326660146,"endHours":14.547120326660146,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:33","end":"15:33","startHours":14.547120326660146,"endHours":15.547120326660146,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:33","end":"16:33","startHours":15.547120326660146,"endHours":16.547120326660146,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:33","end":"17:33","startHours":16.547120326660146,"endHours":17.547120326660146,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:33","end":"18:33","startHours":17.547120326660146,"endHours":18.547120326660146,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:33","end":"19:33","startHours":18.547120326660146,"endHours":19.547120326660146,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:33","end":"20:33","startHours":19.547120326660146,"endHours":20.547120326660146,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:33","end":"21:33","startHours":20.547120326660146,"endHours":21.547120326660146,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:33","end":"22:33","startHours":21.547120326660146,"endHours":22.547120326660146,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:33","end":"23:33","startHours":22.547120326660146,"endHours":23.547120326660146,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:33","end":"00:33","startHours":23.547120326660146,"endHours":24.547120326660146,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:33","end":"01:33","startHours":24.547120326660146,"endHours":25.547120326660146,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:33","end":"02:33","startHours":25.547120326660146,"endHours":26.547120326660146,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:33","end":"03:33","startHours":26.547120326660146,"endHours":27.547120326660146,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:33","end":"04:33","startHours":27.547120326660146,"endHours":28.547120326660146,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:33","end":"05:33","startHours":28.547120326660146,"endHours":29.547120326660146,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"North","rahuVasa":"South-East","anandadiYoga":{"name":"Dhvaja","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":8.028927260401327,"eotMinutes":6.239563755367786,"ayanamsa":-48.2748}},"calendars":{"vikram_samvat":-3107,"saka_samvat":-3242,"bengali_samvat":-3757,"malayalam_era":-3988,"nanakshahi_year":-4633,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Kārtika","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Caturdaśī · Vikram -3107 undefined · Śaka -3242 undefined"},"festivals":[{"id":"naraka-chaturdashi","name":"Naraka Caturdaśī (Choṭī Diwālī)","name_sanskrit":"नरक चतुर्दशी","tradition":"Vaishnava","associated_deity":"Krishna (Narakāsura-vadha)","significance":"Krishna slew Narakāsura, freeing 16,000 captive princesses. Day 2 of Diwali.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa","lunar_month":"Kārtika"},"precedence":2,"sources":["Bhāgavata 10.59"]},{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Dedicated festival walk for Naraka Caturdaśī (Choṭī Diwālī) · Māsika Śivarātri is not live yet; Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"location_specific":"varanasi"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga September 17, 3165 BCE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"September 17, 3165 BCE for Vārāṇasī (Kāśī): Kṛṣṇa Caturdaśī, sūryodaya 05:33, sūryāsta 18:11.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/-3164-09-17","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/-3164-09-17","sa":"https://sa.vidhyamitra.com/city/varanasi/-3164-09-17","hi":"https://hi.vidhyamitra.com/city/varanasi/-3164-09-17","x-default":"https://vidhyamitra.com/city/varanasi/-3164-09-17"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-13T00:39:18.571Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-08-13T00:39:18.571Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-13T00:39:18.571Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}